Journal
MATHEMATICAL AND COMPUTER MODELLING
Volume 48, Issue 11-12, Pages 1787-1795Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.mcm.2008.04.003
Keywords
Marangoni convection; Heat transfer; Nonlinear boundary value problem; Analytical decomposition
Categories
Funding
- National Natural Science Foundation of China [50476083]
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This paper presents a theoretical analysis for Marangoni convection induced flow over a free surface due to an imposed temperature gradient. The analysis assumes that the surface tension varies linearly with temperature but the temperature variation is a power law function of the location. The boundary layer equations are reduced into nonlinear ordinary differential equations. The analytical approximant solutions are represented in terms of a rapid convergent power series with elegantly computable terms and the associated transfer characteristics are discussed. (C) 2008 Elsevier Ltd. All rights reserved.
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